Gibbs Free Energy

The relation between

%5CDelta%20G%5E%5Ccirc

and the equilibrium constant

K_C

is given by the following equation:

%5CDelta%20G%5E%5Ccirc%20%3D%20-RT%20%5Cln%20K_C

Where: -

%5CDelta%20G%5E%5Ccirc

is the standard Gibbs free energy change, -

R

is the universal gas constant

8.314%20%5C%2C%20%5Ctext%7BJ%2Fmol%C2%B7K%7D

, -

T

is the temperature in Kelvin, -

K_C

is the equilibrium constant. Given that

%5CDelta%20G%5E%5Ccirc%20%3D%2013.8%20%5C%2C%20%5Ctext%7BkJ%2Fmol%7D%20%3D%2013800%20%5C%2C%20%5Ctext%7BJ%2Fmol%7D

and

T%20%3D%20298%20%5C%2C%20%5Ctext%7BK%7D

, we can rearrange the equation to solve for

K_C

K_C%20%3D%20e%5E%7B-%5Cfrac%7B%5CDelta%20G%5E%5Ccirc%7D%7BRT%7D%7D

Substituting the known values:

K_C%20%3D%20e%5E%7B-%5Cfrac%7B13800%7D%7B8.314%20%5Ctimes%20298%7D%7D%20%3D%20e%5E%7B-5.56%7D%20%3D%203.81%20%5Ctimes%2010%5E%7B-3%7D

Thus, the correct answer is Option (D).

Chapter Questions
1 MCQs